12948593 has 10 divisors (see below), whose sum is σ = 15108594. Its totient is φ = 11096736.

The previous prime is 12948569. The next prime is 12948599. The reversal of 12948593 is 39584921.

12948593 = 2⁴ + 3⁴ + ... + 36⁴.

12948593 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12794929 + 153664 = 3577^2 + 392^2 .

It is not a de Polignac number, because 12948593 - 2¹⁴ = 12932209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12948593.

It is not an unprimeable number, because it can be changed into a prime (12948599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 296 + ... + 5097.

Almost surely, 2^12948593 is an apocalyptic number.

It is an amenable number.

12948593 is a deficient number, since it is larger than the sum of its proper divisors (2160001).

12948593 is an frugal number, since it uses more digits than its factorization.

12948593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5421 (or 5400 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 12948593 is about 3598.4153456765. The cubic root of 12948593 is about 234.8231232796.

The spelling of 12948593 in words is "twelve million, nine hundred forty-eight thousand, five hundred ninety-three".